TS EAMCET · Maths · Circle
If the tangent drawn at the point \(P\) on the circle \(x^2+y^2\) \(+6 x+6 y=2\) meets the straight line \(5 x-2 y+6=0\) at a point \(\mathrm{Q}\) on the Y-axis, then the length of \(\mathrm{PQ}\) is
- A \(5\)
- B \(4\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(A) \(5\)
Step-by-step Solution
Detailed explanation
\(\because Q\) lies on \(y\)-axis \(\begin{aligned} & \therefore \quad x=0 \\ & \Rightarrow-2 y+6=0 \Rightarrow y=3 \end{aligned}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The area bounded by the curve \(y=x^3-3 x^2+2 x\) and the \(X\)-axis is (in square units)TS EAMCET 2018 Easy
- If \(\theta\) is the acute angle between the pair of lines \(\mathrm{H} \equiv a x^2-x y+b y^2=0, \tan \theta=5\) and \((1,-1)\) is a point on \(\mathrm{H}=0\) then \(a^2+a b+b^2=\)TS EAMCET 2022 Hard
- If a circle passing through the point touches the circle externally at the point then the radius of isTS EAMCET 2022 Medium
- The direction cosines of two lines are connected by the relation \(l-m+n=0\) and \(2 l m-3 m n+n l=0\). If \(\theta\) is the angle between these two lines, then \(\cos \theta=\)TS EAMCET 2024 Medium
- \(\frac{\cos x}{\cos (x-2 y)}=\lambda \Rightarrow \tan (x-y) \tan y\) is equal toTS EAMCET 2009 Medium
- The area (in square units) of the quadrilateral formed by joining the focii of the two ellipses and isTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- Match the following

The correct answer isTS EAMCET 2024 Easy - If \(k\) and \(l\) respectively are the order and degree of the differential equation whose general solution represents the family of circles of constant radius, then \(k^2+l^2=\)TS EAMCET 2019 Medium
- A carrier wave of peak voltage \(10 \mathrm{~V}\) is used to transmit a message signal. What should be the peak voltage of the modulatingsignalinordertohaveamodulationindex of \(80 \%\)TS EAMCET 2022 Easy
- The maximum interval in which the slopes of the tangents drawn to the curve \(y=x^4+5 x^3+9 x^2+6 x+2\) increase isTS EAMCET 2024 Easy
- If \(\tan A \lt 0\) and \(\tan 2 A=-\frac{4}{3}\), then \(\cos 6 A=\)TS EAMCET 2024 Medium
- If \(a, b, c\) are the intercepts made on \(X, Y, Z\)-axes respectively by the plane passing through the points \((1,0,-2),(3,-1,2)\) and \((0,-3,4)\), then \(3 a+4 b+7 c=\)TS EAMCET 2024 Medium